# On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints

ESAIM: Control, Optimisation and Calculus of Variations (2009)

- Volume: 15, Issue: 2, page 426-453
- ISSN: 1292-8119

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topNeitzel, Ira, and Tröltzsch, Fredi. "On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints." ESAIM: Control, Optimisation and Calculus of Variations 15.2 (2009): 426-453. <http://eudml.org/doc/245961>.

@article{Neitzel2009,

abstract = {In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated and numerical tests are conducted. Moreover the method is compared with other numerical techniques.},

author = {Neitzel, Ira, Tröltzsch, Fredi},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {optimal control; parabolic equation; pointwise state constraints; boundary control; Lavrentiev-type regularization; parabolic differential equations},

language = {eng},

number = {2},

pages = {426-453},

publisher = {EDP-Sciences},

title = {On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints},

url = {http://eudml.org/doc/245961},

volume = {15},

year = {2009},

}

TY - JOUR

AU - Neitzel, Ira

AU - Tröltzsch, Fredi

TI - On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2009

PB - EDP-Sciences

VL - 15

IS - 2

SP - 426

EP - 453

AB - In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated and numerical tests are conducted. Moreover the method is compared with other numerical techniques.

LA - eng

KW - optimal control; parabolic equation; pointwise state constraints; boundary control; Lavrentiev-type regularization; parabolic differential equations

UR - http://eudml.org/doc/245961

ER -

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